385723800 has 576 divisors, whose sum is σ = 1699176960. Its totient is φ = 76665600.

The previous prime is 385723781. The next prime is 385723831. The reversal of 385723800 is 8327583.

385723800 is a `hidden beast` number, since 3 + 8 + 572 + 3 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16770589 + ... + 16770611.

It is an arithmetic number, because the mean of its divisors is an integer number (2949960).

Almost surely, 2^385723800 is an apocalyptic number.

385723800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385723800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849588480).

385723800 is an abundant number, since it is smaller than the sum of its proper divisors (1313453160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385723800 is a wasteful number, since it uses less digits than its factorization.

385723800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 385723800 is about 19639.8523416038. The cubic root of 385723800 is about 727.9342360994.

The spelling of 385723800 in words is "three hundred eighty-five million, seven hundred twenty-three thousand, eight hundred".